Conway sphere
In mathematical knot theory, a Conway sphere, named after John Horton Conway, is a 2-sphere intersecting a given knot in the 3-sphere or 3-ball transversely in four points. It is essential if it is incompressible and boundary-incompressible in the knot complement.
References
- Gordon, Cameron McA.; Luecke, John (2006). "Knots with unknotting number 1 and essential Conway spheres". Alg. Geom. Topol. 6: 2051–2116. arXiv:math/0601265. doi:10.2140/agt.2006.6.2051.
- Lickorish, W. B. Raymond (1997), An introduction to knot theory, Graduate Texts in Mathematics, 175, Berlin, New York: Springer-Verlag, ISBN 978-0-387-98254-0, MR 1472978
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